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Finding the Fourth Proportional to 143,242,500.30, 214,863,750.45 and 143,242,500.30

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Solution

The fourth proportional to 143,242,500.30, 214,863,750.45 and 143,242,500.30 is: 214,863,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,242,500.30 : 214,863,750.45 = 143,242,500.30 : x
  2. Step 2: Convert to fraction form
    143,242,500.30/214,863,750.45 = 143,242,500.30/x
  3. Step 3: Cross multiply
    143,242,500.30x = 214,863,750.45 × 143,242,500.30
  4. Step 4: Simplify right side
    143,242,500.30x = 30,777,620,838,293,252
  5. Step 5: Solve for x
    x = 30,777,620,838,293,252/143,242,500.30
  6. Step 6: Final answer
    x = 214,863,750.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.